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Finding the Third Proportional to 212,373 and 456,227

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Solution

The third proportional to 212,373 and 456,227 is: 980,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,373 : 456,227 = 456,227 : x
  2. Step 2: Convert to fraction form
    212,373/456,227 = 456,227/x
  3. Step 3: Cross multiply
    212,373x = 456,227 × 456,227
  4. Step 4: Simplify right side
    212,373x = 208,143,075,529
  5. Step 5: Solve for x
    x = 208,143,075,529/212,373
  6. Step 6: Final answer
    x = 980,082.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.